Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
1557 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4254 | 0.5109 | 0.8326 | [X:[1.5789, 1.4737, 1.3684], M:[0.4211, 0.8421, 0.5263, 0.7368, 1.2632], q:[1.1579, 0.4211], qb:[0.3158, 0.8421], phi:[0.3158]] | [X:[[0], [0], [0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23343/54872, c: 7009/13718, X1: 30/19, X2: 28/19, X3: 26/19, M1: 8/19, M2: 16/19, M3: 10/19, M4: 14/19, M5: 24/19, q1: 22/19, q2: 8/19, qb1: 6/19, qb2: 16/19, phi1: 6/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$ | ${}\phi_{1}^{2}q_{2}\tilde{q}_{1}^{3}$ | -1 | t^2.211 + t^2.526 + t^2.842 + t^3.158 + t^4.105 + t^4.421 + t^4.737 + 2*t^5.053 + 2*t^5.368 + t^5.684 - t^6. + t^6.632 + t^7.263 + 2*t^7.579 + 2*t^7.895 - t^8.526 - t^3.947/y - t^6.474/y + t^7.421/y + t^7.737/y + t^8.053/y + (2*t^8.368)/y + t^8.684/y - t^3.947*y - t^6.474*y + t^7.421*y + t^7.737*y + t^8.053*y + 2*t^8.368*y + t^8.684*y | t^2.211 + t^2.526 + t^2.842 + t^3.158 + t^4.105 + t^4.421 + t^4.737 + 2*t^5.053 + 2*t^5.368 + t^5.684 - t^6. + t^6.632 + t^7.263 + 2*t^7.579 + 2*t^7.895 - t^8.526 - t^3.947/y - t^6.474/y + t^7.421/y + t^7.737/y + t^8.053/y + (2*t^8.368)/y + t^8.684/y - t^3.947*y - t^6.474*y + t^7.421*y + t^7.737*y + t^8.053*y + 2*t^8.368*y + t^8.684*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
2680 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{2}M_{6}$ | 0.4117 | 0.4874 | 0.8448 | [X:[1.5789, 1.4737, 1.3684], M:[0.4211, 0.8421, 0.5263, 0.7368, 1.2632, 1.1579], q:[1.1579, 0.4211], qb:[0.3158, 0.8421], phi:[0.3158]] | t^2.211 + t^2.842 + t^3.158 + t^3.474 + t^4.105 + t^4.421 + t^5.053 + t^5.368 + t^5.684 - t^6. - t^3.947/y - t^3.947*y | detail | {a: 45183/109744, c: 26743/54872, X1: 30/19, X2: 28/19, X3: 26/19, M1: 8/19, M2: 16/19, M3: 10/19, M4: 14/19, M5: 24/19, M6: 22/19, q1: 22/19, q2: 8/19, qb1: 6/19, qb2: 16/19, phi1: 6/19} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
987 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[0.9689, 0.7812, 0.922, 0.8281, 1.1719], q:[0.6405, 0.3906], qb:[0.4375, 0.7812], phi:[0.4375]] | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail |